Vanessa needs at least a 46 on the 4th quiz.
Average is defined as the ratio of the sum of the number of the data sets to the total number of the data. The average actually determines the middle value of the data.
Given that Vanessa has scored 45, 32, and 37 on her three math quizzes. She will take one more quiz and she wants a quiz average of at least 40. The minimum score will be calculated as below:-
First, find the average of the three.
45 + 32 + 37 = 114
114÷3 = 38
4 total quizzes, for a 40 average on 4 quizzes, she needs
40 x 4 = 160 total points
For 3 quizzes she has,
45 +32 +37 = 114 points
For the fourth quiz,
160-114 = 46
Therefore, Vanessa needs at least a 46 on the 4th quiz.
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45 + 32 + 37 = 114
114÷3 = 38
4 total quizzes,
for a 40 average on 4 quizzes she needs 40*4 = 160 total points
for 3 quizzes she has 45 +32 +37 = 114 points
160-114 = 46, she needs at least a 46 on the 4th quiz
B) 13.5
C) 27
Answer:
(A)
Step-by-step explanation:
GIVEN: The sides of a quadrilateral are and .
TO FIND: Find the length of the shortest side of a similar quadrilateral whose area is times as great.
SOLUTION:
let the height of smaller quadrilateral be
As both quadrilateral are similar,
let the length of larger quadrilateral are times of smaller.
sides of large quadrilateral are
height of large quadrilateral
Area of lager quadrilateral
Area of smaller quadrilateral
as the larger quadrilateral is times as great
shortest side
Hence the shortest side of larger quadrilateral is , option (A) is correct.
Answer:
(A)
Step-by-step explanation:
GIVEN: The sides of a quadrilateral are and .
TO FIND: Find the length of the shortest side of a similar quadrilateral whose area is times as great.
SOLUTION:
let the height of smaller quadrilateral be
As both quadrilateral are similar,
let the length of larger quadrilateral are times of smaller.
sides of large quadrilateral are
height of large quadrilateral
Area of lager quadrilateral
Area of smaller quadrilateral
as the larger quadrilateral is times as great
shortest side
Hence the shortest side of larger quadrilateral is , option (A) is correct.
Step-by-step explanation:
per day. When will the two actors charge the same amount of money?
Answer:
The two actors will have the same amount of money in 5 days.
Step-by-step explanation:
Answer:
85 miles per hour.
Step-by-step explanation:
We have been given a formula , d is the distance in miles, r is the rate, and t is the time in hours.
To find the rate, we will substitute our given values in above formula as:
Therefore, our required rate is 85 miles per hour.
a - angle 2
b - angle 3
c - angle 4
d - angle 6
The correct option is c.
In the given diagram, angle 1 is equal to angle 4. Vertically opposite angles are formed when two lines intersect, and in this case, angle 1 and angle 4 are vertically opposite angles.
For question 1, in a diagram where parallel lines are cut by a transversal, the angles corresponding to each other are congruent. Therefore, the measure of angle 4 is equal to the measure of angle 1.
Vertically opposite angles occur when two lines intersect. The angles that are directly across from each other (i.e., vertically opposite to each other) are equal. Hence, in the case of angle 1 and angle 4, these are vertically opposite angles and are equal.
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Answer:
angle 4
Step-by-step explanation:
1 and 4 are vertical angles
∠1 = ∠4
This according to the vertical angle theorem
Hope this helps!!
B. y = 2x + 2
C. y = -2x + 1
D. y = -1x + 1
E. y = -3x + 1
Answer:
it would be C. y= -2x+1
Step-by-step explanation:
Y= mx+c
the c would be the y- intercept (0,1)
m is the slope the rise/run in this case the line seems to be going down which means there would be a negative sign you move 2 units down and one right the slope would be -2/1 which is -2